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4954748778 = 234725311777
BaseRepresentation
bin1001001110101001…
…10111011101101010
3110210022020022120000
410213110313131222
540121403430103
62135353243430
7233532445500
oct44724673552
913708208500
104954748778
112112910101
12b63403576
1360c676b15
14350082670
151deeb8aa3
hex12753776a

4954748778 has 120 divisors (see below), whose sum is σ = 13159724292. Its totient is φ = 1388814336.

The previous prime is 4954748767. The next prime is 4954748791. The reversal of 4954748778 is 8778474594.

4954748778 is a `hidden beast` number, since 4 + 9 + 547 + 4 + 87 + 7 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4724225289 + 230523489 = 68733^2 + 15183^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 414826 + ... + 426602.

Almost surely, 24954748778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4954748778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579862146).

4954748778 is an abundant number, since it is smaller than the sum of its proper divisors (8204975514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4954748778 is a wasteful number, since it uses less digits than its factorization.

4954748778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11842 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The square root of 4954748778 is about 70389.9764028942. The cubic root of 4954748778 is about 1704.8017391148.

The spelling of 4954748778 in words is "four billion, nine hundred fifty-four million, seven hundred forty-eight thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 81 98 106 126 147 159 162 189 294 318 371 378 441 477 567 742 882 954 1113 1134 1323 1431 2226 2597 2646 2862 3339 3969 4293 5194 6678 7791 7938 8586 10017 11777 15582 20034 23373 23554 30051 35331 46746 60102 70119 70662 82439 105993 140238 164878 210357 211986 247317 317979 420714 494634 577073 624181 635958 741951 953937 1154146 1248362 1483902 1731219 1872543 1907874 2225853 3462438 3745086 4369267 4451706 5193657 5617629 6677559 8738534 10387314 11235258 13107801 13355118 15580971 16852887 26215602 30584869 31161942 33705774 39323403 46742913 50558661 61169738 78646806 91754607 93485826 101117322 117970209 183509214 235940418 275263821 353910627 550527642 707821254 825791463 1651582926 2477374389 4954748778